How many solutions does this equation have? k = 4k + 9 Choices: (A)no solution (B)one solution (C)infinitely many solutions

Subtract 4k: Subtract 4k from both sides of the equation to isolate the variable k on one side. k - 4k = 4k + 9 - 4kSimplify equation: Simplify both sides of the equation. -3k = 9Divide by -3: Divide both sides of the equation by -3 to solve for k. k = 9 / -3Calculate k: Calculate the value of k. k = -3One solution found: Since we found a value for k, the equation has one solution.

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How many solutions does this equation have? $\newline$ $k = 4k + 9$ $\newline$ Choices: $\newline$ (A)no solution $\newline$ (B)one solution $\newline$ (C)infinitely many solutions

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Math Problems

Algebra 1

Find the number of solutions to a linear equation

Full solution

Q. How many solutions does this equation have?

\newline

k = 4k + 9

\newline

Choices:

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(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Subtract $4k$ : Subtract $4k$ from both sides of the equation to isolate the variable $k$ on one side. $\newline$ $k - 4k = 4k + 9 - 4k$
Simplify equation: Simplify both sides of the equation. $\newline$ $-3k = 9$
Divide by $-3$ : Divide both sides of the equation by $-3$ to solve for $k$ . $k = \frac{9}{-3}$
Calculate k: Calculate the value of $k$ . $k = -3$
One solution found: Since we found a value for $k$ , the equation has one solution.